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Finding the Fourth Proportional to 353,443.40, 530,165.10 and 269,462.60

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Solution

The fourth proportional to 353,443.40, 530,165.10 and 269,462.60 is: 404,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,443.40 : 530,165.10 = 269,462.60 : x
  2. Step 2: Convert to fraction form
    353,443.40/530,165.10 = 269,462.60/x
  3. Step 3: Cross multiply
    353,443.40x = 530,165.10 × 269,462.60
  4. Step 4: Simplify right side
    353,443.40x = 142,859,666,275.26
  5. Step 5: Solve for x
    x = 142,859,666,275.26/353,443.40
  6. Step 6: Final answer
    x = 404,193.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.